Triple
T7625157
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Edward M. Wright |
E172608
|
entity |
| Predicate | isCoAuthorOf |
P2389
|
FINISHED |
| Object | An Introduction to the Theory of Numbers |
E120387
|
NE FINISHED |
How this triple was built (3 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: An Introduction to the Theory of Numbers | Statement: [Edward M. Wright, isCoAuthorOf, An Introduction to the Theory of Numbers]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: An Introduction to the Theory of Numbers Context triple: [Edward M. Wright, isCoAuthorOf, An Introduction to the Theory of Numbers]
-
A.
An Introduction to the Theory of Numbers
chosen
An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
-
B.
Three Pearls of Number Theory
Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
-
C.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
-
D.
The Higher Arithmetic
The Higher Arithmetic is a classic introductory textbook on number theory, widely regarded for its clear exposition and influence on generations of mathematicians.
-
E.
Number Theory: An Approach through History from Hammurapi to Legendre
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isCoAuthorOf Context triple: [Edward M. Wright, isCoAuthorOf, An Introduction to the Theory of Numbers]
-
A.
hasCoauthor
chosen
Indicates that two or more entities have jointly authored the same work or publication.
-
B.
coAuthorAlsoWrote
Indicates that a person who is a co-author of one work also wrote another work, linking shared authorship across multiple creations.
-
C.
hasCollaboratedIn
Indicates that two or more entities have worked together on a shared project, task, or activity.
-
D.
workInCollectionBySameAuthor
Indicates that one work is included in a collection whose other contents are by the same author as that work.
-
E.
associatedWithAuthorWork
Indicates a relationship where an author is connected to a work they created, contributed to, or are otherwise credited for.
- F. None of above.
Provenance (4 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69c699517e348190bd3348b6889200f2 |
completed | March 27, 2026, 2:50 p.m. |
| NER | Named-entity recognition | batch_69c6fe73ff7c8190ab1218d97b37416d |
completed | March 27, 2026, 10:02 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c8a212d0888190a40cdf32ef53d993 |
completed | March 29, 2026, 3:52 a.m. |
| PD | Predicate disambiguation | batch_69c6f4e725a88190b1f05dd224f7f4f2 |
completed | March 27, 2026, 9:21 p.m. |
Created at: March 27, 2026, 3:56 p.m.